Topical Problems of Fluid Mechanics


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Institute of Thermomechanics AS CR, v.v.i. CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics MIO Université du Sud Toulon Var - AMU - CNRS - IRD Czech Pilot centre ERCOFTAC
Note on the Problem of Compressible Non-Newtonian Fluids

M. Caggio, Š. Nečasová

Abstract:
The aim of the paper is to consider the compressible non-Newtonian fluids of power law type when the viscosity coeffcients depend not only on invariants of velocity field but also on the density. We introduce approximation scheme using model of multipolar fluids. After then passing with higher viscosity to zero we get the measure valued solution of the problem.

Keywords:
non-Newtonian fluid, compressible fluid, multipolar fluid, measure-valued solution
Fulltext: PDF
DOI: https://doi.org/10.14311/TPFM.2019.005
In Proceedings Topical Problems of Fluid Mechanics 2019, Prague, 2019 Edited by David Šimurda and Tomáš Bodnár, pp. 31-36
ISBN 978-80-87012-69-7 (Print)
ISSN 2336-5781 (Print)
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